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9.5 CA - Properties of Logarithms, Assignments of Algebra

Worksheet by Kuta Software LLC. Algebra 2. 9.5 CA - Properties of Logarithms. Name___________________________________ ID: 1. Period____.

Typology: Assignments

2021/2022

Uploaded on 08/01/2022

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Worksheet by Kuta Software LLC
Algebra 2
9.5 CA - Properties of Logarithms
Name___________________________________ ID: 1
Period____
Expand each logarithm.
1) log
(
uv
)
2) log
u
3) log
(
u
v
)
4) log x yz
5) log
(
dabc
)
6) log
(
abc
)
Condense each expression to a single logarithm.
7) log u log v8) log u
9) log a log b10) log x log y
11)  log w log u log v12) log clog d log a
log b
Use a calculator to approximate each to the nearest thousandth. Use "change of base" formula to
show your work.
13) log  14) log 
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Worksheet by Kuta Software LLC

Algebra 2

9.5 CA - Properties of Logarithms

Name___________________________________ ID: 1

Period____

Expand each logarithm.

1) log  ( u  v )^ 2) log 

u

3) log  (

u

v ^ )

 (^) 4) log  x  y  z

  1. log (^)  ( d a  b  c )^ 6) log (^)  ( ab ^  c )

Condense each expression to a single logarithm.

  1. log (^)  u  log (^)  v

log (^)  u

  1.  log (^)  a  log (^)  b 10)  log (^)  x  log (^)  y

  2.  log (^)  w  log (^)  u  log (^)  v

  3. log (^)  c log (^)  d 

log (^)  a

log (^)  b

Use a calculator to approximate each to the nearest thousandth. Use "change of base" formula to show your work.

  1. log (^)   14) log (^)  

Worksheet by Kuta Software LLC

Answers to 9.5 CA - Properties of Logarithms (ID: 1)

  1. log (^)  u log (^)  v

log (^)  u

  1.  log (^)  u  log (^)  v

log (^)  x

log (^)  y

log (^)  z

  1. log (^)  d 

log (^)  a

log (^)  b

log (^)  c

  1. log (^)  a  log (^)  b  log (^)  c
  2. log (^) 

u v

  1. log (^)  u

  2. log (^)  ( ba )^

  3. log (^) 

x

y

 11) log^ 

w  u 

v

  1. log (^)  ( dc

ba )